6. Solve the equation

Answer:

[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x^4-5x^2-36=0[/tex]

Let's let u equal x² so:

[tex]u^2-5u-36=0[/tex]

Factor. We can use -9 and 4. So:

[tex]u^2+4u-9u-36=0[/tex]

From the first two terms, factor out a u.

From the last two terms, factor out a -9. So:

[tex]u(u+4)-9(u+4)=0[/tex]

Grouping:

[tex](u-9)(u+4)=0[/tex]

Zero Product Property:

[tex]u-9=0 \text{ or } u+4=0[/tex]

On the left, add 9. On the right, subtract 4:

[tex]u=9\text{ or } u=-4[/tex]

Substitute back u:

[tex]x^2=9\text{ or } x^2=-4[/tex]

Take the square root:

[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]

And we're done!

Our answer is the Second option.

Answer:

B). x = ±2i and x = ±3

Step-by-step explanation:

[tex]\text{Hello!}[/tex]

=+=+=+=+=+=+=+=+=+=+=

[tex]\text{Formula: } \boxed{5/4n - 7 = m}[/tex]

[tex]\text{ When n = 40, } \boxed{m = 43}[/tex]

[tex]\text{ Isolate for m:}[/tex]

[tex]\text{Begin by dividing both sides by 4/5 (multiply by reciprocal):}[/tex]

[tex]n = 4/5(m + 7 ) \text{ becomes } 5/4n = m + 7[/tex]

[tex]\text{Subtract 7 from both sides to isolate "m"}[/tex]

[tex]5/4n - 7 = m[/tex]

[tex]\text{Substitute n = 40 into the equation to solve for "m":}[/tex]

[tex]5/4(40) - 7 = m\\\\50 - 7 = m\\\\m = 43[/tex]

Answer: 4

Step-by-step explanation:

Mean means to add up the values and divide it by the number of values there is so 9 + 1 + 8 + 3 + 2 + 1 = 24, then 24 / 6 is 4.

Answer

I think first 3

Step-by-step explanation:

A slope is also known as the gradient of a line. The points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the function that the table represents is 2.2.

Also, the slope of the different points and the origin will be shown on the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Hence, the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Learn more about Slope of Line:

https://brainly.com/question/14511992

#SPJ2

Answer:

my guess would have to be a= -9   (negative nine)

Step-by-step explanation:

sorry, i tried solving the problem otherwise and couldn't get an answer, good luck

Answer:

f=260

Step-by-step explanation:

Answer:

f- -20

Step-by-step explanation:

Answer:

[tex]f(m) = 90000 - 0.05m[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$90000[/tex]

[tex]Spending = 15\%[/tex] -- every 3 months

Required

Determine the function that shows her monthly balance:

Represent month with m

If she spends 15% every 3 months;

Then

She spends 5% every month

i.e.

[tex]monthly = \frac{15\%}{3}[/tex]

[tex]monthly = 5\%[/tex]

If [tex]1\ month = 5\%[/tex]

Then

[tex]m\ months = 5\% * m[/tex]

Monthly balance (f(m) is then calculated as:

[tex]f(m) = Base\ Amount - Monthly\ Spending[/tex]

[tex]f(m) = 90000 - 5\% * m[/tex]

[tex]f(m) = 90000 - 0.05 * m[/tex]

[tex]f(m) = 90000 - 0.05m[/tex]

Answer:

k=3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

-3/4 \  - 3 1\4  = 1

Solution :

7658 - 7000 = 658 - blank

658 = 658

So here, blank is 0.

547 - 7000 = 658 - blank

-7111 = 658 - blank

Blank = 7769

14 - 7000 = 658 - blank

- 6986 = 658 - blank

Blank = 7644

Answer: slope m=-1

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{Slope = - 1}}}}}[/tex]

Step-by-step explanation:

[tex] \tt{Let \: the \: points \: be \: A \: and \: B}[/tex]

[tex] \tt{Let \: A ( 2 , -3 ) \: be \: ( x1 , y1 ) \: and \: B ( -4 , 3 ) \: be \: ( x2 , y2)}[/tex]

[tex] \underline{ \tt{Finding \: the \: slope \: of \: the \: line}}[/tex]

[tex] \boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex] \longmapsto{ \sf{Slope = \frac{3 -( - 3)}{ - 4 - 2} }}[/tex]

[tex] \longmapsto{ \sf{Slope = \frac{3 + 3}{ - 4 - 2}}} [/tex]

[tex] \longmapsto{ \sf{Slope = \frac{6}{ -6}}} [/tex]

[tex] \longmapsto{ \boxed{ \sf{Slope = - 1}}}[/tex]

[tex] \tt{Hope \: I \: helped ! } [/tex]

[tex] \sf{Best \: regards !!}[/tex]

~TheAnimeGirl

Answer:

x+3x=144

4x=144

144/4=36

X=36

Step-by-step explanation:

Answer:

-6.8

Step-by-step explanation:

it is closer to 0 and so it is more than the -14.2

Answer:

(0,3)

Step-by-step explanation:

This is a problem from affine geometry, so doesn’t need any concept of distance that mixes x and y coordinates. We can just take each coordinate separately.

(1,5),(−5,−7),(,),=6

Usually in these sorts of problems with unknown B we’re given the ratio AB:BC; here we have the slightly unusual and easier AB:AC.

The difference of the given points  −=(6,12) .

Since  =6  we know  −=16(−)=(1,2)

So  =−(1,2)=(1,5)−(1,2)

=(0,3)

Answer:

B. 10 - 3x

Step-by-step explanation:

Answer:

It is B

Step-by-step explanation:

Because if u read out the answers it would be 10 minus 3x

Answer:

D.Water can cause rocks to break into sediments through mechanical weathering.

We know 3x16=48

Since there is a minus sign, the answer is -48.

:)

Answer:

The anwser is option 2

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

3/5 × 5/8

Multiply the numerators and denominators respectively

15/40

Simplify

3/8

Answer:

Step-by-step explanation: Ok So pretend you have one apple and your friend gives you another apple how much would you have... Answer is "2"

Answer: so it is 2

Step-by-step explanation: if one friend said I have 1 bike and you said you have 1 bike that would be 2. So 1 bike + 1 bike= 2 bikes

Answer:

Step-by-step explanation

The first one is (3)  ( Z, X Y , U )

The 2nd one is ( RS )

3rd on is ( 2 )

i am confident for my answer.

Answer:

1.) 1ST CHOICE

2.) RS

3. I CAN NOT SEE THE QUESTION

Step-by-step explanation:

Function is missing.

It is;

f(n) = ½⋅f(n − 1) for n ≥ 2

Answer:

Domain for this function is;

n ≥ 1

Step-by-step explanation:

We are told They decide they will have 64 pieces in week 1,

Thus;

f(1) = 64

From the function given;

f(n) = ½⋅f(n − 1)

So;

f(2) = ½•f(2 - 1)

f(2) = ½•f(1)

f(2) = ½ • 64

f(2) = 32

Also;

f(3) = ½•f(3 - 1)

f(3) = ½•f(2)

f(3) = ½ × 32 = 16

Looking at the steps, they follow a general pattern of;

f(n) = 64•½^(n - 1) for n ≥ 1

Thus, the domain for the function for n weeks after the first one is n ≥ 1

Answer:

5 minutes

Step-by-step explanation:

5 people take 5 minutes to make 5 toys

1 person takes 25 minutes to make 5 toys

100 people take 0.25 minutes to make 5 toys

100 people take 0.05 minutes to make 1 toy

100 people take 5 minutes to make 100 toys

Answer:

The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.

Step-by-step explanation:

7+8=15

15+8=23

23+8=31

31+8=39

39+8=47

47+8=55

Answer:

0 0 6

0 6 0

6 0 0

Step-by-step explanation:

Simple place value

Answer: The length of a side of the square is given by x

The length of a side of the equilateral triangle is given by x=1

Given is : The perimeter of a square is equal to the perimeter of an equilateral triangle.

Perimeter of square is given as 4 x side.

Perimeter of equilateral triangle is given as 3 x side.

So, we will make both equal.

As x = 1 for triangle, the equation becomes:

4x=3

so x=3/4

Step-by-step explanation: